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""" |
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========================================================= |
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Legacy discrete Fourier transforms (:mod:`scipy.fftpack`) |
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========================================================= |
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.. legacy:: |
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New code should use :mod:`scipy.fft`. |
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Fast Fourier Transforms (FFTs) |
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============================== |
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.. autosummary:: |
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:toctree: generated/ |
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fft - Fast (discrete) Fourier Transform (FFT) |
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ifft - Inverse FFT |
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fft2 - 2-D FFT |
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ifft2 - 2-D inverse FFT |
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fftn - N-D FFT |
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ifftn - N-D inverse FFT |
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rfft - FFT of strictly real-valued sequence |
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irfft - Inverse of rfft |
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dct - Discrete cosine transform |
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idct - Inverse discrete cosine transform |
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dctn - N-D Discrete cosine transform |
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idctn - N-D Inverse discrete cosine transform |
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dst - Discrete sine transform |
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idst - Inverse discrete sine transform |
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dstn - N-D Discrete sine transform |
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idstn - N-D Inverse discrete sine transform |
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Differential and pseudo-differential operators |
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============================================== |
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.. autosummary:: |
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:toctree: generated/ |
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diff - Differentiation and integration of periodic sequences |
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tilbert - Tilbert transform: cs_diff(x,h,h) |
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itilbert - Inverse Tilbert transform: sc_diff(x,h,h) |
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hilbert - Hilbert transform: cs_diff(x,inf,inf) |
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ihilbert - Inverse Hilbert transform: sc_diff(x,inf,inf) |
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cs_diff - cosh/sinh pseudo-derivative of periodic sequences |
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sc_diff - sinh/cosh pseudo-derivative of periodic sequences |
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ss_diff - sinh/sinh pseudo-derivative of periodic sequences |
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cc_diff - cosh/cosh pseudo-derivative of periodic sequences |
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shift - Shift periodic sequences |
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Helper functions |
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================ |
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.. autosummary:: |
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:toctree: generated/ |
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fftshift - Shift the zero-frequency component to the center of the spectrum |
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ifftshift - The inverse of `fftshift` |
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fftfreq - Return the Discrete Fourier Transform sample frequencies |
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rfftfreq - DFT sample frequencies (for usage with rfft, irfft) |
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next_fast_len - Find the optimal length to zero-pad an FFT for speed |
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Note that ``fftshift``, ``ifftshift`` and ``fftfreq`` are numpy functions |
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exposed by ``fftpack``; importing them from ``numpy`` should be preferred. |
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Convolutions (:mod:`scipy.fftpack.convolve`) |
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============================================ |
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.. module:: scipy.fftpack.convolve |
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.. autosummary:: |
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:toctree: generated/ |
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convolve |
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convolve_z |
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init_convolution_kernel |
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destroy_convolve_cache |
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""" |
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__all__ = ['fft','ifft','fftn','ifftn','rfft','irfft', |
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'fft2','ifft2', |
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'diff', |
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'tilbert','itilbert','hilbert','ihilbert', |
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'sc_diff','cs_diff','cc_diff','ss_diff', |
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'shift', |
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'fftfreq', 'rfftfreq', |
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'fftshift', 'ifftshift', |
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'next_fast_len', |
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'dct', 'idct', 'dst', 'idst', 'dctn', 'idctn', 'dstn', 'idstn' |
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] |
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from ._basic import * |
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from ._pseudo_diffs import * |
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from ._helper import * |
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from ._realtransforms import * |
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from . import basic, helper, pseudo_diffs, realtransforms |
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from scipy._lib._testutils import PytestTester |
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test = PytestTester(__name__) |
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del PytestTester |
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